journal article·2025-04-24Open access

A Low-Carbon Scheduling Method for Container Intermodal Transport Using an Improved Grey Wolf–Harris Hawks Hybrid Algorithm

Meixian Jiang, Shuying Lv, Yuqiu Zhang, Fan Wu, Zhi Pei, Guanghua Wu

Applied Sciences· Volume 15· Issue 9

Abstract

Container intermodal scheduling is critical for advancing low-carbon logistics within inland port systems. However, the scheduling process faces several challenges, including the complexity of coordinating transport modes and complying with carbon emission policies. To address these issues, this study proposes a multi-objective optimization model that simultaneously considers transportation cost, carbon emissions, and time efficiency under soft time window constraints. The model is solved using an improved grey wolf–Harris hawks hybrid algorithm (IGWOHHO). This algorithm enhances population diversity through Tent chaotic mapping, balances global exploration and local exploitation with adaptive weight adjustment, and improves solution quality by incorporating an elite retention strategy. Benchmark tests show that IGWOHHO outperforms several well-established metaheuristic algorithms in terms of convergence accuracy and robustness. A case study based on an intermodal transport network further demonstrates that adjusting the objective weights flexibly provides decision support under various scenarios, achieving a dynamic balance between cost, efficiency, and environmental impact. Additionally, the analysis reveals that appropriate carbon tax pricing can encourage the adoption of greener transport modes, promoting the sustainable development of multimodal logistics systems.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Vehicle Routing Optimization Methods · Maritime Ports and Logistics · Maritime Transport Emissions and Efficiency

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310023, China

College of Biomedical Science and Engineering, National University of Singapore Suzhou Research Institute, Suzhou 215123, China

Funding

National Natural Science Foundation of China · Zhejiang Provincial Natural Science Foundation of China

References (52)

Show source-provided references
1. Milutinovic, N., Gajevic, M., Krstovic, J., Petrovic, A., Bacanin, N., and Antonijevic, M. (2022, January 15–16). Performance of arithmetic optimization algorithm for ELM tuning applied to iot security. Proceedings of the 2022 30th Telecommunications Forum (TELFOR), Belgrade, Serbia.10.1109/TELFOR56187.2022.9983668 ↗
2. IoT service composition based on improved Shuffled Frog Leaping Algorithm10.1016/j.heliyon.2024.e28087 ↗
3. Wu, K., Lu, Z.J., and Bai, E. (2025). Optimization of cold chain logistics distribution path considering traffic condition and replenishment along the way. PLoS ONE, 20.10.1371/journal.pone.0305982 ↗
4. Zhang, H., Yan, J., and Wang, L. (2024). Hybrid Tabu-Grey wolf optimizer algorithm for enhancing fresh cold-chain logistics distribution. PLoS ONE, 19.10.1371/journal.pone.0306166 ↗
5. Hybrid data mining and data-driven algorithms for a green logistics transportation network in the post-COVID era: A case study in the USA10.1016/j.sasc.2024.200156 ↗
6. Hybrid algorithm-driven smart logistics optimization in iot-based cyber-physical systems
7. Using improved hybrid grey wolf algorithm based on artificial bee colony algorithm onlooker and scout bee operators for solving optimization problems10.1007/s44196-024-00497-6 ↗
8. Vehicle logistics path optimization based on ant colony and particle hybrid algorithm
9. Organisation for Economic Co-Operation and Development-European Union Intellectual Property Office (2021). Misuse of Containerized Maritime Shipping in the Global Trade of Counterfeits, OECD Publishing.
10. World Resources Institute (2025, March 01). Research on the Potential for Low-Carbon Development in Container Port Collection and Distribution Systems: Insights from Shenzhen Port. Available online: https://wri.org.cn/research/Optimizing-container-ports-transportation-and-Distribution-systems-toward-a-low-carbon-future.
11. International Energy Agency (2025, March 02). CO2 Emissions in 2023. Available online: https://iea.blob.core.windows.net/assets/33e2badc-b839-4c18-84ce-f6387b3c008f/CO2Emissionsin2023.pdf.
12. Peet, K., Gota, S., Huizenga, C., Medimorec, N., Enriquez, A., Yiu, A., Verheul, B., Dalkmann, H., and Cardama, M. (2025, March 02). Transport and Climate Change: Global Status Report 2018. Available online: http://slocat.net/tcc-gsr.
13. (2025, March 03). Inland Waterways. Available online: https://transport.ec.europa.eu/transport-modes/inland-waterways_en.
14. Telematics-electronic data interchange/EDI/in port transport logistics
15. Research on evaluation of port railway collection and transportation system10.1051/e3sconf/202126103028 ↗
16. Cost Analysis of Multimodal Transport on Refrigerated Container10.1088/1755-1315/791/1/012078 ↗
17. Analysis of modal shift potential towards intermodal transportation in short-distance inland container transport10.1016/j.tranpol.2020.01.017 ↗
18. Cost optimization model design of fresh food cold chain system in the context of big data10.1016/j.bdr.2023.100417 ↗
19. Rivera, A.E.P., and Mes, M.R.K. (2022). Anticipatory scheduling of synchromodal transport using approximate dynamic programming. Ann. Oper. Res., 1–35.10.1007/s10479-022-04668-6 ↗
20. A hybrid optimization approach for designing sustainable intermodal freight transport under mixed uncertainty10.1016/j.seps.2024.102146 ↗
21. Assessing robustness in multimodal transportation systems: A case study in Lisbon10.1186/s12544-022-00552-3 ↗
22. A two-stage model for an urban underground container transportation plan problem10.1016/j.cie.2019.106113 ↗
23. Rescue and relocation of benthic organisms during an urban-port development project: Port of Manzanillo, case study
24. Developing an integrated restoration model of multimodal transportation network10.1016/j.trd.2022.103413 ↗
25. Li, L., Zhang, Q., Zhang, T., Zou, Y., and Zhao, X. (2023). Optimum Route and Transport Mode Selection of Multimodal Transport with Time Window under Uncertain Conditions. Mathematics, 11.10.3390/math11143244 ↗
26. Routes Choice in the international intermodal networks under the soft time window
27. Multi-objective Optimization for Green Delivery Routing Problems with Flexible Time Windows10.1080/08839514.2024.2325302 ↗
28. Logistics distribution route optimization with Time Windows based on Multi-Agent Deep Reinforcement learning
29. Majumdar, A., Singh, S.P., Jessica, J., and Agarwal, A. (2023). Network design for a decarbonised supply chain considering cap-and-trade policy of carbon emissions. Ann. Oper. Res., 1–35.10.1007/s10479-023-05481-5 ↗
30. Low-carbon route optimization model for multimodal freight transport considering value and time attributes10.1016/j.seps.2024.102108 ↗
31. Zhang, X., Jin, F.Y., Yuan, X.M., and Zhang, H.Y. (2021). Low-Carbon Multimodal Transportation Path Optimization under Dual Uncertainty of Demand and Time. Sustainability, 15.10.3390/su13158180 ↗
32. Liu, Z., Zhou, S., and Liu, S. (2025). Optimization of Multimodal Transport Paths Considering a Low-Carbon Economy Under Uncertain Demand. Algorithms, 18.10.3390/a18020092 ↗
33. Practice of an improved many-objective route optimization algorithm in a multimodal transportation case under uncertain demand10.1007/s40747-024-01725-4 ↗
34. A bi-objective optimization for integrated truck operation and storage allocation considering traffic congestion in container terminals
35. Wu, C., Zhang, Y., Xiao, Y., Mo, W., Xiao, Y., and Wang, J. (2024). Optimization of Multimodal Paths for Oversize and Heavyweight Cargo under Different Carbon Pricing Policies. Sustainability, 16.10.3390/su16156588 ↗
36. Sun, Y., Zhang, C., Chen, A., and Sun, G. (2024). Modeling a Green and Reliable Intermodal Routing Problem for Food Grain Transportation Under Carbon Tax and Trading Regulations and Multi-Source Uncertainty. Systems, 12.10.3390/systems12120547 ↗
37. Research on the choice of multimodal transportation emission reduction schemes based on different carbon tax models
38. Kilani, M., Diop, N., and De Wolf, D. (2022). A Multimodal Transport Model to Evaluate Transport Policies in the North of France. Sustainability, 14.10.3390/su14031535 ↗
40. Hybrid chaos game and grey wolf optimization algorithms for UAV path planning10.1016/j.apm.2025.115979 ↗
41. A novel intelligent transport system charging scheduling for electric vehicles using grey wolf optimizer and sail fish optimization algorithms10.1080/15567036.2022.2067268 ↗
42. Lu, Y., and Li, S. (2023). Green Transportation Model in Logistics Considering the Carbon Emissions Costs Based on Improved Grey Wolf Algorithm. Sustainability, 15.10.3390/su151411090 ↗
43. Harris hawks optimization: Algorithm and applications. Future Gener
44. An efficient harris hawk optimization algorithm for solving the travelling salesman problem10.1007/s10586-021-03304-5 ↗
45. Li, S., Zhang, R., Ding, Y., Qin, X., Han, Y., and Zhang, H. (2022). Multi-UAV path planning algorithm based on BINN-HHO. Sensors, 22.10.3390/s22249786 ↗
46. Qi, Y., Jiang, A., and Gao, Y. (2024). A Gaussian convolutional optimization algorithm with tent chaotic mapping. Sci. Rep., 14.10.1038/s41598-024-82277-y ↗
47. Tu, B., Wang, F., Huo, Y., and Wang, X.T. (2023). A hybrid algorithm of grey wolf optimizer and harris hawks optimization for solving global optimization problems with improved convergence performance. Sci. Rep., 13.10.1038/s41598-023-49754-2 ↗
48. Blockchain-assisted server placement with elitist preserved genetic algorithm in edge computing10.1109/JIOT.2023.3290568 ↗
49. Naser, M.Z., Al-Bashiti, M.K., Tapeh, A.T., Eslamlou, A.D., Naser, A., Kodur, V., Hawileh, R.A., Abdalla, J., Khodadadi, N., and Gandomi, A.H. (2024). A Review of 315 Benchmark and Test Functions for Machine Learning Optimization Algorithms and Metaheuristics with Mathematical and Visual Descriptions. arXiv.
50. Metaheuristic optimization algorithms: A comprehensive overview and classification of benchmark test functions10.1007/s00500-023-09276-5 ↗
51. Best routes selection in multimodal networks using multi-objective genetic algorithm10.1007/s10878-012-9574-8 ↗
52. Bi-objective optimization for multi-modal transportation routing planning problem based on Pareto optimality